In the course of writing this article, the goal was to develop the algorithm for setting up an adaptive fuzzy controller with a double rule base. To achieve this goal, a fuzzy controller designed to control the temperature of the steam leaving the boiler. As the boiler was considered the model of boiler BKZ-75-39GMA. In the course of writing, the fuzzy controller was synthesized and adapted. On the basis of the work done, the algorithm for adaption the fuzzy controller was determined.